Brute Force Attacks
Understanding Brute Force Attacks:
Brute force attacks involve systematically trying all possible combinations to crack passwords.
The total number of combinations can be calculated using the formula:
Possible Combinations = Character Set Size^Password Length
Example Calculations:
6-character password (lowercase letters):
26^6 β 300 million combinations.
8-character password (lowercase letters):
26^8 β 200 billion combinations.
8-character password (lowercase + uppercase):
52^8 β 53 trillion combinations.
12-character password (lowercase, uppercase, numbers, symbols):
94^12 β 475 quintillion combinations.
Key Takeaways:
Increasing password length or complexity (adding character types) exponentially increases the search space, making brute-force attacks more difficult.
The attacker's computational power significantly affects the time required to crack a password. More powerful hardware can attempt more guesses per second.

Cracking Time Comparison:
Basic Computer (1 million passwords/second):
Cracking an 8-character alphanumeric password could take ~6.92 years.
Supercomputer (1 trillion passwords/second):
Even with this power, cracking a complex 12-character password could take ~15,000 years.
Practical Example: Cracking a 4-Digit PIN
A simple demonstration involves brute-forcing a 4-digit PIN (0000 to 9999) using a Python script.
The script sends requests to a server endpoint, checking each PIN until the correct one is found.
Python Script Overview:
The script iterates through all possible PINs, checking responses to find the correct one and capture the associated flag.
Conclusion:
Brute force attacks highlight the importance of strong, complex passwords and the need for robust security measures to protect against such vulnerabilities.
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